Question

The total student at Shiloh middle school is 1,400 students. If the ratio of boy to girls is 3:4 for the school how many students are boys and how many students are girls

Answer 1

There are 600 boys and 800 girls.

SOLUTION:

We are given the following facts:

• The total number of students is 1,400.
• The ratio of boys to girls is 3:4.

We express this as a partitive proportion.

» Solve for x.

• 
  `\sf 3x + 4x = 1400`
• 
  `\sf 7x = 1400`
• 
  `\sf x = (1400)/(7)`
• 
  `\sf x = 200`

Now we to solve for the number of boys and the number of girls.

» Number of boys:

• =
  `\sf 3x`
• =
  `\sf (3)(200)` =
  `{\boxed{\sf 600}}`

» Number of girls:

• =
  `\sf 4x`
• =
  `\sf (4)(200)` =
  `{\boxed{\sf 800}}`

Thus, there are 600 boys and 800 girls. The sum of these is the total number of students in Shiloh Middle School.

HOPE IT HELPS!